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Finding the Fourth Proportional to 70,926.84, 106,390.26 and 24,178.50

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Solution

The fourth proportional to 70,926.84, 106,390.26 and 24,178.50 is: 36,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,926.84 : 106,390.26 = 24,178.50 : x
  2. Step 2: Convert to fraction form
    70,926.84/106,390.26 = 24,178.50/x
  3. Step 3: Cross multiply
    70,926.84x = 106,390.26 × 24,178.50
  4. Step 4: Simplify right side
    70,926.84x = 2,572,356,901.41
  5. Step 5: Solve for x
    x = 2,572,356,901.41/70,926.84
  6. Step 6: Final answer
    x = 36,267.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.